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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 38 example ( Enter your problem )
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37. Divisibility rule of 37 example
(Previous example)		39. Divisibility rule of 39 example
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38. Divisibility rule of 38 example


1. Check whether 10374 is divisible by 38 or not?

Solution:
Divisibility rule of 38 :
If number is divisible by 2 and 19, then number is also divisible by 38.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 10374 is 4, which is divisible by 2.

`:.` 10374 is divisible by 2.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`1037color{red}{4}=>1037 + color{red}{4} xx 2 = 1037 +8 = 1045`

`104color{red}{5}=>104 + color{red}{5} xx 2 = 104 +10 = 114`

`11color{red}{4}=>11 + color{red}{4} xx 2 = 11 +8 = 19`

Here 19 is divisible by 19.
`:.` 10374 is divisible by 19.


10374 is divisible by 2 and 19.

`:.` 10374 is divisible by 38.


2. Check whether 13224 is divisible by 38 or not?

Solution:
Divisibility rule of 38 :
If number is divisible by 2 and 19, then number is also divisible by 38.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 13224 is 4, which is divisible by 2.

`:.` 13224 is divisible by 2.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`1322color{red}{4}=>1322 + color{red}{4} xx 2 = 1322 +8 = 1330`

`133color{red}{0}=>133 + color{red}{0} xx 2 = 133 = 133`

`13color{red}{3}=>13 + color{red}{3} xx 2 = 13 +6 = 19`

Here 19 is divisible by 19.
`:.` 13224 is divisible by 19.


13224 is divisible by 2 and 19.

`:.` 13224 is divisible by 38.


3. Check whether 14364 is divisible by 38 or not?

Solution:
Divisibility rule of 38 :
If number is divisible by 2 and 19, then number is also divisible by 38.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 14364 is 4, which is divisible by 2.

`:.` 14364 is divisible by 2.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`1436color{red}{4}=>1436 + color{red}{4} xx 2 = 1436 +8 = 1444`

`144color{red}{4}=>144 + color{red}{4} xx 2 = 144 +8 = 152`

`15color{red}{2}=>15 + color{red}{2} xx 2 = 15 +4 = 19`

Here 19 is divisible by 19.
`:.` 14364 is divisible by 19.


14364 is divisible by 2 and 19.

`:.` 14364 is divisible by 38.


4. Check whether 9627 is divisible by 38 or not?

Solution:
Divisibility rule of 38 :
If number is divisible by 2 and 19, then number is also divisible by 38.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 9627 is 7, which is not divisible by 2.

`:.` 9627 is not divisible by 2.


Hence 9627 is also not divisible by 38.

5. Check whether 12638 is divisible by 38 or not?

Solution:
Divisibility rule of 38 :
If number is divisible by 2 and 19, then number is also divisible by 38.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 12638 is 8, which is divisible by 2.

`:.` 12638 is divisible by 2.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`1263color{red}{8}=>1263 + color{red}{8} xx 2 = 1263 +16 = 1279`

`127color{red}{9}=>127 + color{red}{9} xx 2 = 127 +18 = 145`

`14color{red}{5}=>14 + color{red}{5} xx 2 = 14 +10 = 24`

Here 24 is not divisible by 19.
`:.` 12638 is not divisible by 19.


Hence 12638 is also not divisible by 38.

6. Check whether 13565 is divisible by 38 or not?

Solution:
Divisibility rule of 38 :
If number is divisible by 2 and 19, then number is also divisible by 38.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 13565 is 5, which is not divisible by 2.

`:.` 13565 is not divisible by 2.


Hence 13565 is also not divisible by 38.



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